2506958540 has 12 divisors (see below), whose sum is σ = 5264612976. Its totient is φ = 1002783408.

The previous prime is 2506958527. The next prime is 2506958543. The reversal of 2506958540 is 458596052.

2506958540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2506958540² = 12569682242557863200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2506958491 and 2506958500.

It is not an unprimeable number, because it can be changed into a prime (2506958543) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 62673944 + ... + 62673983.

It is an arithmetic number, because the mean of its divisors is an integer number (438717748).

Almost surely, 2^2506958540 is an apocalyptic number.

2506958540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2506958540 is an abundant number, since it is smaller than the sum of its proper divisors (2757654436).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2506958540 is a wasteful number, since it uses less digits than its factorization.

2506958540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125347936 (or 125347934 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 44.

The square root of 2506958540 is about 50069.5370459923. The cubic root of 2506958540 is about 1358.4668673553.

The spelling of 2506958540 in words is "two billion, five hundred six million, nine hundred fifty-eight thousand, five hundred forty".